partial differential for nonlinear equation

2015 3 1
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i want the partial differential of this equation w.r.t X , Y and Z
31.65951=sqrt((20460991.052399-X)^2+(11012393.207537-Y)^2+(13140061.841029-Z)^2)-sqrt((20462649.31-X)^2+(11012196.356-Y)^2+(13137623.266-Z)^2)

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Mischa Kim
Mischa Kim 2015-3-1
编辑：Mischa Kim 2015-3-1

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Use gradient
syms X Y Z
Eq = -31.65951 + sqrt((20460991.052399-X)^2+(11012393.207537-Y)^2+(13140061.841029-Z)^2)-sqrt((20462649.31- X)^2+(11012196.356-Y)^2+(13137623.266-Z)^2);
gradient(Eq)
ans =
(2*X - 5492455463362645/134217728)/(2*((Z - 3527258492164819/268435456)^2 + (X - 5492455463362645/268435456)^2 + (Y - 2956116792316497/268435456)^2)^(1/2)) - (2*X - 5492900598497935/134217728)/(2*((Z - 7053207784329839/536870912)^2 + (X - 5492900598497935/268435456)^2 + (Y - 5912127900768797/536870912)^2)^(1/2))
(2*Y - 2956116792316497/134217728)/(2*((Z - 3527258492164819/268435456)^2 + (X - 5492455463362645/268435456)^2 + (Y - 2956116792316497/268435456)^2)^(1/2)) - (2*Y - 5912127900768797/268435456)/(2*((Z - 7053207784329839/536870912)^2 + (X - 5492900598497935/268435456)^2 + (Y - 5912127900768797/536870912)^2)^(1/2))
(2*Z - 3527258492164819/134217728)/(2*((Z - 3527258492164819/268435456)^2 + (X - 5492455463362645/268435456)^2 + (Y - 2956116792316497/268435456)^2)^(1/2)) - (2*Z - 7053207784329839/268435456)/(2*((Z - 7053207784329839/536870912)^2 + (X - 5492900598497935/268435456)^2 + (Y - 5912127900768797/536870912)^2)^(1/2))

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ahmed ashiry
ahmed ashiry 2015-3-1
error
syms X Y Z Eq = -31.65951 + sqrt((20460991.052399-X)^2+(11012393.207537-Y)^2+(13140061.841029-Z)^2)-sqrt((20462649.31- X)^2+(11012196.356-Y)^2+(13137623.266-Z)^2); gradient(Eq) ??? Error using ==> zeros Trailing string input must be a valid numeric class name.
Error in ==> gradient at 64 g = zeros(size(f),class(f)); % case of singleton dimension
Mischa Kim
Mischa Kim 2015-3-1
Ahmed, how are you running these lines of code? Within a script/function?
Can you get it to run in the MATLAB command window?
ahmed ashiry
ahmed ashiry 2015-3-1
thanks for your reply > but i want the version of you matlab to solve the above function gradient

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